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A new numerical approach and visco-refined zigzag theory for blast analysis of auxetic honeycomb plates integrated by multiphase nanocomposite facesheets in hygrothermal environment

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Abstract

The current work suggests a mathematical model for the dynamic response of sandwich plates subjected to a blast load using a numerical method. The sandwich structure is made from an auxetic honeycomb core layer integrated by multiphase nanocomposite facesheets. The facesheets are composed of polymer–carbon nanotube (CNT)–fiber where the equivalent material properties of the multiphase nanocomposite layers are obtained using fiber micromechanics and Halpin–Tsai equations in hierarchy. The top and bottom layers are subjected to magnetic field and the material properties of them are assumed temperature and moisture dependent. The Kelvin–Voigt model is employed to consider the viscoelastic properties of the structure. The sandwich structure is rested on a viscoelastic foundation which is modeled by orthotropic visco-Pasternak medium. Based on refined zigzag theory (RZT), energy method and Hamilton’s principle, the motion equations are derived. A new numerical method, namely differential cubature method (DCM) in conjunction with Newmark method is utilized for obtaining the dynamic deflection of the structure for different boundary conditions. The effects of various parameters such as blast load, viscoelastic foundation, structural dam**, magnetic field, volume fraction of CNTs, temperature and moisture changes, geometrical parameters of honeycomb layer and sandwich plate are considered on the dynamic deflection of the structure. The results show that the magnetic field to the facesheets can be considered as effective parameters to control the dynamic deflection. In addition, hygrothermal condition leads to increase of 24% in the dynamic displacement of system.

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References

  1. Wilkins DJ, Bert CW, Egle DM (1970) Free vibrations of orthotropic sandwich conical shells with various boundary conditions. J Sound Vib 13:211–228

    Article  MATH  Google Scholar 

  2. Allam MNM, Zenkour AM, El-Mekawy HF (2010) Bending response of inhomogeneous fiber-reinforced viscoelastic sandwich plates. Acta Mech 209:231–248

    Article  MATH  Google Scholar 

  3. Mahapatra TR, Kar VR, Panda SK (2016) Large amplitude vibration analysis of laminated composite spherical panels under hygrothermal environment. Int J Struct Stab Dyn 16:1450105

    Article  MathSciNet  MATH  Google Scholar 

  4. Nguyen LB, Thai ChH, Nguyen-Xua H (2016) A generalized unconstrained theory and isogeometric finite element analysis based on Bézier extraction for laminated composite plates. Eng Comput 32:457–475

    Article  Google Scholar 

  5. Mahapatra TR, Panda SK (2016) Nonlinear free vibration analysis of laminated composite spherical shell panel under elevated hygrothermal environment: a micromechanical approach. Aerosp Sci Technol 49:276–288

    Article  Google Scholar 

  6. Mahapatra TR, Panda SK, Kar VR (2016) Nonlinear flexural analysis of laminated composite panel under hygro-thermo-mechanical loading—a micromechanical approach. Int J Comput Meth 13:1650015

    Article  MathSciNet  MATH  Google Scholar 

  7. Mahapatra TR, Panda SK, Kar VR (2016) Nonlinear hygro-thermo-elastic vibration analysis of doubly curved composite shell panel using finite element micromechanical model. Mech Adv Mater Struct 23:1343–1359

    Article  Google Scholar 

  8. Mahapatra TR, Panda SK, Kar VR (2016) Geometrically nonlinear flexural analysis of hygro-thermo-elastic laminated composite doubly curved shell panel. Int J Mech Mat Des 12:153–171

    Article  Google Scholar 

  9. Kolahchi R, Keshtegar B, Fakhar MH (2017) Optimization of dynamic buckling for sandwich nanocomposite plates with sensor and actuator layer based on sinusoidal visco-piezoelasticity theories using Grey Wolf algorithm. J Sandw Struct Mat. https://doi.org/10.1177/1099636217731071

    Google Scholar 

  10. Duc ND, Quan TQ, Khoa N (2017) New approach to investigate nonlinear dynamic response and vibration of imperfect functionally graded carbon nanotube reinforced composite double curved shallow shells subjected to blast load and temperature. Aerosp Sci Technol. https://doi.org/10.1016/j.ast.2017.09.031

    Google Scholar 

  11. Duc ND, Jaechong Lee T, Nguyen-Thoi T, Thang PT (2017) Static response and free vibration of functionally graded carbon nanotube-reinforced composite rectangular plates resting on Winkler–Pasternak elastic foundations. Aerosp Sci Technol 68:391–402

    Article  Google Scholar 

  12. Thanh NV, Khoa ND, Tuan ND, Phuong T, Duc ND (2017) Nonlinear dynamic response and vibration of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) shear deformable plates with temperature dependence material properties and surrounded on elastic foundations. J Therm Stress 40(10):1254–1274

    Article  Google Scholar 

  13. Duc ND, Cong PH, Tuan ND, Phuong T, Thanh NV (2017) Thermal and mechanical stability of functionally graded carbon nanotubes (FG CNT)-reinforced composite truncated conical shells surrounded by the elastic foundations. Thin Wall Struct 115:300–310

    Article  Google Scholar 

  14. Mahapatra TR, Mehar K (2017) Nonlinear thermoelastic deflection of temperature-dependent FGM curved shallow shell under nonlinear thermal loading. J Therm Stress 40:1184–1199

    Article  Google Scholar 

  15. Kar VR, Mahapatra TR, Panda SK (2017) Effect of different temperature load on thermal postbuckling behaviour of functionally graded shallow curved shell panels. Compos Struct 160:236–1247

    Article  Google Scholar 

  16. Katariya PV, Panda SK, Mahapatra TR (2017) Prediction of nonlinear eigenfrequency of laminated curved sandwich structure using higher-order equivalent single-layer theory. J Sandw Struct Mat. https://doi.org/10.1177/1099636217728420

    Google Scholar 

  17. Mehar K, Panda SK, Mahapatra TR (2017) Theoretical and experimental investigation of vibration characteristic of carbon nanotube reinforced polymer composite structure. Int J Mech Sci 133:319–329

    Article  Google Scholar 

  18. Mehar K, Panda SK, Mahapatra TR (2017) Thermoelastic nonlinear frequency analysis of CNT reinforced functionally graded sandwich structure. Eur J Mech A Solids 65:384–396

    Article  MathSciNet  MATH  Google Scholar 

  19. Mehar K, Panda SK (2017) Thermal free vibration behavior of FG-CNT reinforced sandwich curved panel using finite element method. Polym Compos 39:2751–2764

    Article  Google Scholar 

  20. Kolahchi R, Zarei MSh, Hajmohammad MH, Nouri A (2017) Wave propagation of embedded viscoelastic FG-CNT-reinforced sandwich plates integrated with sensor and actuator based on refined Zigzag theory. Int J Mech Sci 130:534–545

    Article  Google Scholar 

  21. Zarei MSh, Azizkhani MB, Hajmohammad MH, Kolahchi R (2017) Dynamic buckling of polymer-CNT-fiber multiphase nanocomposite viscoelastic laminated conical shells in hygrothermal environments. J Sandw Struct Mat. https://doi.org/10.1177/1099636217743288

    Google Scholar 

  22. Hajmohammad MH, Zarei MSh, Nouri A, Kolahchi R (2017) Dynamic buckling of sensor/functionally graded-carbon nanotubes reinforced laminated plates/actuator based on sinusoidal-visco piezoelasticity theories. J Sandw Struct Mater. https://doi.org/10.1177/1099636217720373

    Google Scholar 

  23. Katariya PV, Hirwani ChK, Panda SK (2018) Geometrically nonlinear deflection and stress analysis of skew sandwich shell panel using higher-order theory. Eng Comput. https://doi.org/10.1007/s00366-018-0609-3

    Google Scholar 

  24. Hirwani ChK, Panda SK, Mahapatra TR (2018) Nonlinear finite element analysis of transient behavior of delaminated composite plate. J Vib Acous 140:021001

    Article  Google Scholar 

  25. Sharma N, Mahapatra TR, Panda SK (2018) Numerical analysis of acoustic radiation responses of shear deformable laminated composite shell panel in hygrothermal environment. J Sound Vib 431:346–366

    Article  Google Scholar 

  26. Qin Q, Yuan Ch, Zhang J, Wang TJ (2014) Large deflection response of rectangular metal sandwich plates subjected to blast loading. Eur J Mech A Solids 47:14–22

    Article  Google Scholar 

  27. Hou X, Deng Z, Zhang K (2016) Dynamic crushing strength analysis of auxetic honeycombs. Acta Mech Solida Sin 29:490–501

    Article  Google Scholar 

  28. Hirwani ChK, Panda SK, Mahapatra SS, Mandal SK, De AK (2017) Dynamic behaviour of delaminated composite plate under blast loading. In: ASME 2017 gas turbine India conference, India, p V002T05A032. https://doi.org/10.1115/GTINDIA2017-4847

  29. Ling Q, He Y, He Y, Pang Ch (2017) Dynamic response of multibody structure subjected to blast loading. Eur J Mech A Solids 64:46–57

    Article  MathSciNet  MATH  Google Scholar 

  30. Duc ND, Seung-Eock K, Cong PH, Anh NT, Khoa ND (2017) Dynamic response and vibration of composite double curved shallow shells with negative Poisson’s ratio in auxetic honeycombs core layer on elastic foundations subjected to blast and dam** loads. Int J Mech Sci 133:504–512

    Article  Google Scholar 

  31. Duc ND, Seung-Eock K, Tuan ND, Tran P, Khoa ND (2017) New approach to study nonlinear dynamic response and vibration of sandwich composite cylindrical panels with auxetic honeycomb core layer. Aerosp Sci Technol 70:396–404

    Article  Google Scholar 

  32. Duc ND, Quan TQ, Khoa ND (2017) New approach to investigate nonlinear dynamic response and vibration of imperfect functionally graded carbon nanotube reinforced composite double curved shallow shells subjected to blast load and temperature. Aerosp Sci Technol 71:360–372

    Article  Google Scholar 

  33. Duc ND, Cong PH (2017) Nonlinear dynamic response and vibration of sandwich composite plates with negative Poisson’s ratio in auxetic honeycombs. J Sandw Struct Mater. https://doi.org/10.1177/1099636216674729

    Google Scholar 

  34. Duc ND, Tuan ND, Phuong T, Quan TQ (2017) Nonlinear dynamic response and vibration of imperfect shear deformable functionally graded plates subjected to blast and thermal loads. Mech Adv Mater Struct 24(4):318–329

    Article  Google Scholar 

  35. Tessler A, Sciuva MD, Gherlone M (2010) A consistent refinement of first-order shear deformation theory for laminated composite and sandwich plates using improved zigzag kinematics. J Mech Mat Struct 5:341–362

    Article  Google Scholar 

  36. Ebrahimi F, Habibi S (2018) Nonlinear eccentric low-velocity impact response of polymer-CNT-fiber multi scale nanocomposite plate resting on elastic foundations in hygrothermal environments. Mech Adv Mater Struct 25:425–438

    Article  Google Scholar 

  37. Chetan SJ (2012) Micromechanics and modelling of adaptive shape memory composites. LAMBERT Academic Publishing, England

    Google Scholar 

  38. Manmohan DG, Vasant A, Matsagar A, Gupta K (2011) Dynamic responses of stiffened plates under air blast. Int J Protect Struct 2:139–155

    Article  Google Scholar 

  39. Kadid A (2011) Stiffened plates subjected to uniform loading. J Civil Eng Manag 14:155–161

    Article  Google Scholar 

  40. Vasilis K, Solomos G (2013) Calculation of blast loads for application to structural components. Publications Office of the European Union, EUR Scientific and Technical Research series, Luxembourg

    Google Scholar 

  41. Lakes R (2009) Viscoelastic materials. Cambridge University Press, New York

    Book  MATH  Google Scholar 

  42. Kolahchi R, Hosseini H, Esmailpour M (2016) Differential cubature and quadrature-Bolotin methods for dynamic stability of embedded piezoelectric nanoplates based on visco-nonlocal-piezoelasticity theories. Compos Struct 157:174–186

    Article  Google Scholar 

  43. Simsek M (2010) Non-linear vibration analysis of a functionally graded Timoshenko beam under action of a moving harmonic load. Compos Struct 92:2532–2546

    Article  Google Scholar 

  44. Mohammadzadeh B, Noh HCh (2017) Analytical method to investigate nonlinear dynamic responses of sandwich plates with FGM faces resting on elastic foundation considering blast loads. Compos Struct 174:142–157

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Mechanical Engineering, Imam Hossein University, Tehran, Iran

    Mohammad Hadi Hajmohammad & Amir Hossein Nouri

  2. Faculty of Engineering, Ayatollah Boroujerdi University, Boroujerd, Iran

    Mohammad Sharif Zarei

  3. Department of Civil Engineering, Meymeh Branch, Islamic Azad University, Meymeh, Iran

    Reza Kolahchi

Authors
  1. Mohammad Hadi Hajmohammad
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  2. Amir Hossein Nouri
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  3. Mohammad Sharif Zarei
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  4. Reza Kolahchi
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Correspondence to Reza Kolahchi.

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Hajmohammad, M.H., Nouri, A.H., Zarei, M.S. et al. A new numerical approach and visco-refined zigzag theory for blast analysis of auxetic honeycomb plates integrated by multiphase nanocomposite facesheets in hygrothermal environment. Engineering with Computers 35, 1141–1157 (2019). https://doi.org/10.1007/s00366-018-0655-x

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